Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
366 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10623259 | C2 | semidirect |
| 3. C11×#474 | C2 | semidirect |
| 4. #10622700 | C2 | semidirect |
| 5. #10622621 | C2 | semidirect |
| 6. #10622498 | C2 | semidirect |
| 7. #10622489 | C2 | semidirect |
| 8. #10622455 | C2 | semidirect |
| 9. #10622448 | C2 | semidirect |
| 10. #10622392 | C2 | semidirect |
| 11. #10622377 | C2 | semidirect |
| 121. #474 | D11 | semidirect |
| 217. C11 | #3235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623259 | 2 |
| #10623079 | 2 |
| C11×#474 | 2 |
| #10622700 | 2 |
| #10622621 | 2 |
| #10622498 | 2 |
| #10622489 | 2 |
| #10622455 | 2 |
| #10622448 | 2 |
| #10622392 | 2 |
| #10622377 | 2 |
| #3235 | 11 |